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Develop algorithms for the explicit solution of the Kinematic Equations when applied to a problem of runoff from a plane surface subject to a steady rate of rainfall excess. Use forward differences in the time (t) direction and backward differences in the x direction.
The initial and boundary conditions are:
- Initial condition (t=0): q=0 and y=0 for all x
- Upstream boundary (x=0): q=0 for all t
- Downstream boundary (x=L): S0=Sf
Develop the equations for the solution q, v, y as follows:
(a) In the main body of the x-t solution space using central differences.
(b) At the upstream boundary using forward differences for the spatially variant terms.
A gas is compressed at a constant pressure of 0.800 atm from 9.00L tp 2.00L. in the process, 400J of energy leave the gas by heat. (a) What is the work done on the gas? (b) What is the change in it internal energy?
A classic car is d riving down an incline at 60 km / h when its brakes are applied. Treating the car as a particle, neglecting all forces except gravity and friction, and assuming that the tires slip
determine critical depth in a circular pipe of 36 inches diameter and roughness coefficient of 0.015. The flow rate is 15 cfs. So = 0.002
How many floors can be added to the building while maintaining the code required overturning factor of safety of 2.0 Assume the roof supports a wind load of 4 kips and all floors below support a wind load of 8 kips.
Assume the earth is a sphere with a radius of 6,371,000.000 meters. Three points are defined by their latitude and longitude. Point Latitude (N) Longitude (W) A 40° 25' 48.67" 86° 54' 54.00" B 40° 25' 47.00" 86° 54' 54.00" Purdue CE C 40° 25' 47.0..
A solid steel sphere with a specific gravity of 7.85 and diameter of 0.02 m is falling at its terminal velocity through water at 25 °C. Using either trial-and-error or a graphical approach, determine the velocity of the sphere
Briefly explain how each of the following influences the tensile or yield strength of a semicrystalline polymer and why: (a) Molecular weight (b) Degree of crystallinity (c) Deformation by drawing (d) Annealing of an undeformed material
A tow truck is searching a city street at 30 mi/h for illegally parked vehicles. It travels over an equal tangent vertical curve with an initial grade of +3.5% and final grade of -4.0%.
the turbopump unit in the engine nominally operates at 7000 rpm, and a result of design issue, the actual thrust provided by the engine oscillates harmonically with an amplitude of 10 KN at the same rotational frequency as the turbopump unit.
A hotel room has a floor area of 10 m by 4 m and is 2.5 high and has a window which is 1.6 m high and 3 m wide. The room contains some furniture and other commodities containing 50 kg polyurethane with 25 MJ/kg and 350 kg wood with 18 MJ/kg.
Part of the roof of a sports stadium is to be supported by the cables AB and AC. The forces the cables exert on the pylon A to which they are attached are represented by the vectors FAB and FAC.
Saturated liquid water at 1.0 MPa is throttled adiabatically to a pressure of 0.4 MPa. If the change is kinetic energy is negligible, what percentage of the water evaporates during this throttling process?
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